RichHomieHelp
  • RichHomieHelp
What is the approximate volume of a cylinder with a height of 2 ft and a radius of 6 ft? Use 3.14 to approximate pi. Express your answer in hundredths.
Mathematics
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schrodinger
  • schrodinger
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UnkleRhaukus
  • UnkleRhaukus
The are of a cylinder is equal to the area of its base, times its height. The base is a circle.
UnkleRhaukus
  • UnkleRhaukus
The area of a circle is π r^2, where r is the radius.
RichHomieHelp
  • RichHomieHelp
Im So Confused @UnkleRhaukus

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More answers

UnkleRhaukus
  • UnkleRhaukus
Can you compute the area of the circle? A = π r^2 = 3.14 x ( 6 ft )^2 =
RichHomieHelp
  • RichHomieHelp
10.5
UnkleRhaukus
  • UnkleRhaukus
did you square the 6?
RichHomieHelp
  • RichHomieHelp
idk how
UnkleRhaukus
  • UnkleRhaukus
6^2 = 6 x 6
RichHomieHelp
  • RichHomieHelp
ooo yea
UnkleRhaukus
  • UnkleRhaukus
so you have A = π r^2 = 3.14 x ( 6 ft )^2 = 3.14 x 6 x 6 ft^2 =
RichHomieHelp
  • RichHomieHelp
113.04
UnkleRhaukus
  • UnkleRhaukus
great!, so the area of the circular base is 113.04 ft^2
UnkleRhaukus
  • UnkleRhaukus
Now we can find the volume of the cylinder, but multiplying by the height
RichHomieHelp
  • RichHomieHelp
Thanks
RichHomieHelp
  • RichHomieHelp
ok
UnkleRhaukus
  • UnkleRhaukus
What do you get?
RichHomieHelp
  • RichHomieHelp
idk
RichHomieHelp
  • RichHomieHelp
ooo
UnkleRhaukus
  • UnkleRhaukus
V = 113.04 ft^2 x 2 ft = 113.04 x 2 ft^3 = . . .
RichHomieHelp
  • RichHomieHelp
226.08
UnkleRhaukus
  • UnkleRhaukus
That's it.
RichHomieHelp
  • RichHomieHelp
THANKS!!
RichHomieHelp
  • RichHomieHelp
1 More
UnkleRhaukus
  • UnkleRhaukus
the units are ft^3.
RichHomieHelp
  • RichHomieHelp
Yes
UnkleRhaukus
  • UnkleRhaukus
ok, next one
RichHomieHelp
  • RichHomieHelp
The radius of a cylinder is 15 cm. The volume of the cylinder, found using 3.14 to approximate pi, is 19,782 cm3. What is the height of the cylinder? Express your answer as a whole number.
UnkleRhaukus
  • UnkleRhaukus
As before, for a cylinder the volume is V = Ah = 2 π r^2 h Solve V = 2π r^2 h for h.
RichHomieHelp
  • RichHomieHelp
???
UnkleRhaukus
  • UnkleRhaukus
find an equivalent equation that is like h = ........
UnkleRhaukus
  • UnkleRhaukus
V = 2π r^2 h divide both sides of the equation by 2 π r^2
RichHomieHelp
  • RichHomieHelp
???????????
UnkleRhaukus
  • UnkleRhaukus
V / 2π r^2 = 2π r^2 h / 2π r^2
UnkleRhaukus
  • UnkleRhaukus
simplify the righthand side
RichHomieHelp
  • RichHomieHelp
19782
UnkleRhaukus
  • UnkleRhaukus
cancel the terms common to both the numerator and denominator
RichHomieHelp
  • RichHomieHelp
706
UnkleRhaukus
  • UnkleRhaukus
V / 2π r^2 = h or switching it around h = V / ( 2π r^2 ) now plug in the values

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